Question

The graph of a sine function is drawn. One full cycle goes from x = 0 to x = 2 and the high point on that cycle is (0,3).Which of the following functions could have this graph?O y = 3 sin 5xO y = 5 sin 3xOy=3 sin(x)Oy=-3 sin 5x

Answer 1

Since the graph of the function has

Full cycle from x = 0 to x = 2pi/5

That means the period is 2pi/5

Then x must be multiplied by 5

Since the highest point is (pi/10, 3)

Then the function must multiply by 3

Then the function should be

$y=3sin(5x)$

The answer is the 1st option